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Finding the Fourth Proportional to 9,500.06, 13,111 and 5,522.96

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Solution

The fourth proportional to 9,500.06, 13,111 and 5,522.96 is: 7,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.06 : 13,111 = 5,522.96 : x
  2. Step 2: Convert to fraction form
    9,500.06/13,111 = 5,522.96/x
  3. Step 3: Cross multiply
    9,500.06x = 13,111 × 5,522.96
  4. Step 4: Simplify right side
    9,500.06x = 72,411,528.56
  5. Step 5: Solve for x
    x = 72,411,528.56/9,500.06
  6. Step 6: Final answer
    x = 7,622.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.